-
Pierre René,
Viscount Deligne (French: [dəliɲ]; born 3
October 1944) is a
Belgian mathematician. He is best
known for work on the Weil conjectures, leading...
- In
algebraic geometry, a
Deligne–Mumford
stack is a
stack F such that the
diagonal morphism F → F × F {\displaystyle F\to F\times F} is representable...
- In
algebraic geometry, the Fourier–
Deligne transform, or ℓ-adic
Fourier transform, or
geometric Fourier transform, is an
operation on
objects of the derived...
- In mathematics,
Deligne cohomology sometimes called Deligne-Beilinson
cohomology is the
hypercohomology of the
Deligne complex of a
complex manifold. It...
- In mathematics,
Deligne–Lusztig
theory is a way of
constructing linear representations of
finite groups of Lie type
using ℓ-adic
cohomology with compact...
- Grothendieck (1965), and the
analogue of the
Riemann hypothesis by
Pierre Deligne (1974). The
earliest antecedent of the Weil
conjectures is by Carl Friedrich...
- Two
Belgian mathematicians have been
awarded the
Fields Medal:
Pierre Deligne in 1978 and Jean
Bourgain in 1994.
Belgium was
ranked 24th in the Global...
- the so-called Weil–
Deligne representations of WK. Let K be a
local field. Let E be a
field of
characteristic zero. A Weil–
Deligne representation over...
-
representations of the Weil–
Deligne group of K. The Weil–
Deligne group often shows up
through its representations. In such cases, the Weil–
Deligne group is sometimes...
- non-complete) in the form of
mixed Hodge structures,
defined by
Pierre Deligne (1970). A
variation of
Hodge structure is a
family of
Hodge structures...
